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Finding the Fourth Proportional to 2,438.62, 3,658.84 and 1,465.42

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Solution

The fourth proportional to 2,438.62, 3,658.84 and 1,465.42 is: 2,198.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,438.62 : 3,658.84 = 1,465.42 : x
  2. Step 2: Convert to fraction form
    2,438.62/3,658.84 = 1,465.42/x
  3. Step 3: Cross multiply
    2,438.62x = 3,658.84 × 1,465.42
  4. Step 4: Simplify right side
    2,438.62x = 5,361,737.31
  5. Step 5: Solve for x
    x = 5,361,737.31/2,438.62
  6. Step 6: Final answer
    x = 2,198.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.